Question

(ab+b²) (a²+6a)-(a²+ab)(b²+6b)=

Answer 1

${a}^{3} b + {6a}^{2} b + {a}^{2} {b}^{2} + 6a {b}^{2} - {a}^{2} {b}^{2} \\ - 6 {a}^{2} b - {ab}^{3} - 6 {ab}^{2} = \\ {a}^{3} b - {ab}^{3} = ab( {a}^{2} - {b}^{2} )$=
=ab(a-b)(a+b)